Energy Dependence of Flavor Instabilities Stemming from Crossings in the Neutrino Flavor Lepton Number Angular Distribution
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| Format: | Preprint |
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2023
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| _version_ | 1866916296086519808 |
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| author | Neto, Pedro Dedin Tamborra, Irene Shalgar, Shashank |
| author_facet | Neto, Pedro Dedin Tamborra, Irene Shalgar, Shashank |
| contents | In core-collapse supernovae and neutron star mergers, the neutrino density is so large that neutrino-neutrino refraction can lead to flavor conversion, if a zero-crossing is present in the neutrino flavor lepton number (FLN) angular distribution and the neutrino self-interaction strength $μ=\sqrt{2} G_F n_ν$ represents the characteristic timescale of the system. It has been empirically realized that the vacuum frequency $ω=Δm^2/2E$ affects the development of flavor conversion in the presence of zero-crossing even if $ω\ll μ$. Focusing on a homogeneous and axially symmetric neutrino gas, we explore the role of $ω$ in the onset of flavor instabilities. We find that a non-zero vacuum frequency can be responsible for inducing flavor instabilities even when the neutrino self-interaction strength is much larger than the vacuum frequency. Moreover, mapping a neutrino ensemble with $ω\neq 0$ into an effective system with $ω=0$, we find that a system with no FLN zero-crossing can effectively develop one for $ω\neq 0$ becoming unstable. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_06556 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Energy Dependence of Flavor Instabilities Stemming from Crossings in the Neutrino Flavor Lepton Number Angular Distribution Neto, Pedro Dedin Tamborra, Irene Shalgar, Shashank High Energy Astrophysical Phenomena High Energy Physics - Phenomenology In core-collapse supernovae and neutron star mergers, the neutrino density is so large that neutrino-neutrino refraction can lead to flavor conversion, if a zero-crossing is present in the neutrino flavor lepton number (FLN) angular distribution and the neutrino self-interaction strength $μ=\sqrt{2} G_F n_ν$ represents the characteristic timescale of the system. It has been empirically realized that the vacuum frequency $ω=Δm^2/2E$ affects the development of flavor conversion in the presence of zero-crossing even if $ω\ll μ$. Focusing on a homogeneous and axially symmetric neutrino gas, we explore the role of $ω$ in the onset of flavor instabilities. We find that a non-zero vacuum frequency can be responsible for inducing flavor instabilities even when the neutrino self-interaction strength is much larger than the vacuum frequency. Moreover, mapping a neutrino ensemble with $ω\neq 0$ into an effective system with $ω=0$, we find that a system with no FLN zero-crossing can effectively develop one for $ω\neq 0$ becoming unstable. |
| title | Energy Dependence of Flavor Instabilities Stemming from Crossings in the Neutrino Flavor Lepton Number Angular Distribution |
| topic | High Energy Astrophysical Phenomena High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2312.06556 |